A Quote by David Hilbert

We do not master a scientific theory until we have shelled and completely prised free its mathematical kernel. — © David Hilbert
We do not master a scientific theory until we have shelled and completely prised free its mathematical kernel.
An old French mathematician said: "A mathematical theory is not to be considered complete until you have made it so clear that you can explain it to the first man whom you meet on the street." This clearness and ease of comprehension, here insisted on for a mathematical theory, I should still more demand for a mathematical problem if it is to be perfect; for what is clear and easily comprehended attracts, the complicated repels us.
A theory is only as good as its assumptions. If the premises are false, the theory has no real scientific value. The only scientific criterion for judging the validity of a scientific theory is a confrontation with the data of experience.
It is difficult even to attach a precise meaning to the term "scientific truth." So different is the meaning of the word "truth" according to whether we are dealing with a fact of experience, a mathematical proposition or a scientific theory. "Religious truth" conveys nothing clear to me at all.
It is sometimes said that we should never believe a scientific theory until it is verified by experiment. But a famous astronomer has also stated that we should never believe an observation until it is confirmed by a theory.
My provocative statement is that we desperately need a serious, scientific theory of cities and scientific theory means quantifiable, relying on underlying generic principles that can be made in a - put into a predictive framework. That's the quest.
Well, it [evolution] is a theory, it is a scientific theory only, and it has in recent years been challenged in the world of science and is not yet believed in the scientific community to be as infallible as it once was believed. But if it was going to be taught in the schools, then I think that also the biblical theory of creation, which is not a theory but the biblical story of creation, should also be taught.
String theory has had a long and wonderful history. It originated as a technique to try to understand the strong force. It was a calculational mechanism, a way of approaching a mathematical problem that was too difficult, and it was a promising way, but it was only a technique. It was a mathematical technique rather than a theory in itself.
Men and women are not free to love decently until they have analyzed themselves completely and swept away every mystery from sex; and this means the acquisition of a profound philosophical theory based on wide reading of anthropology and enlightened practice.
A mathematical theory is not to be considered complete until you have made it so clear that you can explain it to the first man whom you meet on the street.
We shall see that the mathematical treatment of the subject [of electricity] has been greatly developed by writers who express themselves in terms of the 'Two Fluids' theory. Their results, however, have been deduced entirely from data which can be proved by experiment, and which must therefore be true, whether we adopt the theory of two fluids or not. The experimental verification of the mathematical results therefore is no evidence for or against the peculiar doctrines of this theory.
We're going to move from a commodity economy where you basically grow the same kind of crops - where a kernel of corn is a kernel of corn is a kernel of corn - to an ingredient economy where there will be a kernel of corn that will be designed for fuel, there will be a kernel of corn designed for livestock.
No scientific theory achieves public acceptance until it has been thoroughly discredited.
The emphasis on mathematical methods seems to be shifted more towards combinatorics and set theory - and away from the algorithm of differential equations which dominates mathematical physics.
To be sure, Darwin's theory of evolution is imperfect. However, the fact that a scientific theory cannot yet render an explanation on every point should not be used as a pretext to thrust an untestable alternative hypothesis grounded in religion into the science classroom or to misrepresent well-established scientific propositions.
The most important single thing about string theory is that it's a highly mathematical theory, and the mathematics holds together in a very tight and consistent way. It contains in its basic structure both quantum mechanics and the theory of gravity. That's big news.
Einstein's theory of General Relativity has a mathematical structure very similar to Yang-Mills theory.
This site uses cookies to ensure you get the best experience. More info...
Got it!